Question

If g(x) = 2[x] − 1, what is g(−2.3)? -7 -5 -4 -3

Answer 1

................-7..........

Answer 2

Option A is correct.

-7

Explanation:

Greatest function:

It indicates an integral part of the real number which is smaller and nearest integer to.

For example:

`[99.999] =99`

`[5.27] = 5`

As per the statement:

If
`g(x) =2[x]-1`

To find g(-2.3)

put x = -2.3

then;

`g(-2.3) =2[-2.3]-1`

⇒
`g(-2.3) =2(-3)-1`

⇒
`g(-2.3)=-6-1= -7`

Therefore, the value of g(-2.3) is, -7